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680728104 = 23337450217
BaseRepresentation
bin101000100100110…
…001011000101000
31202102220120102000
4220210301120220
52343231244404
6151314211000
722604044020
oct5044613050
91672816360
10680728104
1131a287111
1216bb83a60
13ab0524c4
146659ca80
153eb67339
hex28931628

680728104 has 64 divisors (see below), whose sum is σ = 2161046400. Its totient is φ = 194493312.

The previous prime is 680728091. The next prime is 680728117. The reversal of 680728104 is 401827086.

It is an interprime number because it is at equal distance from previous prime (680728091) and next prime (680728117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223597 + ... + 226620.

It is an arithmetic number, because the mean of its divisors is an integer number (33766350).

Almost surely, 2680728104 is an apocalyptic number.

It is an amenable number.

680728104 is an abundant number, since it is smaller than the sum of its proper divisors (1480318296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

680728104 is a wasteful number, since it uses less digits than its factorization.

680728104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450239 (or 450229 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 680728104 is about 26090.7666426267. The cubic root of 680728104 is about 879.6796802498.

It can be divided in two parts, 68072 and 8104, that added together give a square (76176 = 2762).

The spelling of 680728104 in words is "six hundred eighty million, seven hundred twenty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 450217 900434 1350651 1800868 2701302 3151519 3601736 4051953 5402604 6303038 8103906 9454557 10805208 12155859 12606076 16207812 18909114 24311718 25212152 28363671 32415624 37818228 48623436 56727342 75636456 85091013 97246872 113454684 170182026 226909368 340364052 680728104